58 citations · 94 across the 4 of their papers we have counts for
4 papers
On a general q-Fourier transformation with nonsymmetric kernels
Richard A. Askey, Mizan Rahman, Serge\uı K. Suslov
Wiener used the Poisson kernel for the Hermite polynomials to deal with the classical Fourier transform. Askey, Atakishiyev and Suslov used this approach to obtain a q-Fourier tran…
The q-harmonic oscillator and the Al-Salam and Carlitz polynomials
Richard A. Askey, Serge\uı K. Suslov
One more model of a q-harmonic oscillator based on the q-orthogonal polynomials of Al-Salam and Carlitz is discussed. The explicit form of q-creation and q-annihilation operators,…
The q-harmonic oscillator and an analog of the Charlier polynomials
Richard A. Askey, Serge\uı K. Suslov
A model of a q-harmonic oscillator based on q-Charlier polynomials of Al-Salam and Carlitz is discussed. Simple explicit realization of q-creation and q-annihilation operators, q-c…
An analog of the Fourier transformation for a q-harmonic oscillator
Richard A. Askey, Natig M. Atakishiyev, Serge\uı K. Suslov
A q-version of the Fourier transformation and some of its properties are discussed.